🏗️ ΘρϵηΠατπ🚧 (under construction)

LaTeX Cheat Sheet

Basic Syntax

Common Symbols

Write…In LaTeX
Greek letters (lowercase)\alpha, \beta, ..., \omega
Greek letters (uppercase)\Gamma, \Delta, \Omega, etc.
Subscriptsx_i
Superscriptsx^2
Fractions\frac{a}{b}
Square root\sqrt{x}, \sqrt[n]{x}
Infinity\infty
Approximately equal\approx
Not equal\neq
Less/Greater than equal\leq, \geq
Plus-minus\pm
Degree^\circ
Dots\ldots, \cdots, \vdots, \ddots
Vector arrow\vec{v}
Hat\hat{x}
Bar\bar{x}
Tilde\tilde{x}

Functions

\sin, \cos, \tan, \log, \ln, \exp, \min, \max, \lim, \sup, \inf
f(x)=sinx+logx

Piecewise Functions

f(x) = \begin{cases}
x^2 & \text{if } x \geq 0 \\
-x & \text{otherwise}
\end{cases}

Summation

\sum_{i=1}^{n} i^2
i=012i

Integrals

\int f(x)\,dx
\int_{a}^{b} x^2\,dx
\iint, \iiint, \oint

Matrices

\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}

Other styles: pmatrix, vmatrix, Vmatrix

Cases and Conditions

\begin{cases}
1 & \text{if } x > 0 \\
0 & \text{otherwise}
\end{cases}

Arrows and Relations

Write…In LaTeX
Right arrow\rightarrow
Left arrow\leftarrow
Double arrow\Rightarrow, \Leftarrow
Bidirectional arrow\leftrightarrow, \Leftrightarrow
Maps to\mapsto
Proportional to\propto
Element of\in
Not in\notin
Subset\subset, \subseteq
Union / Intersection\cup, \cap

Brackets and Delimiters

\left( \frac{a}{b} \right)
\left[ \cdots \right], \left\{ \cdots \right\}
\left| x \right|

Limits and Derivatives

\lim_{x \to 0} \frac{\sin x}{x}
\frac{dy}{dx}, \frac{d^2y}{dx^2}
\frac{\partial f}{\partial x}

Logic Symbols

Write…In LaTeX
For all\forall
There exists\exists
Not\neg
And\land
Or\lor
Implies\Rightarrow
If and only if\Leftrightarrow

Alignment and Equations

\begin{align}
a &= b + c \\
x &= y + z
\end{align}

Sets

\{ x \in \mathbb{R} \mid x > 0 \}
\in, \notin, \subset, \subseteq, \cup, \cap, \setminus
\mathbb{R}, \mathbb{N}, \mathbb{Z}, \mathbb{Q}, \mathbb{C}

Misc Tips

x = 0 \text{ if } y > 2